ISBN13: 978-0395888308

ISBN10: 0395888301

Cover type:

Edition/Copyright: 99

Publisher: Houghton Mifflin Harcourt

Published: 1999

International: No

ISBN10: 0395888301

Cover type:

Edition/Copyright: 99

Publisher: Houghton Mifflin Harcourt

Published: 1999

International: No

The second-level text in an innovative new workbook series, *Introductory Algebra: An Integrated Approach* is ideal for the first-year developmental arithmetic and pre-algebra instructor who seeks a flexible teaching tool that accommodates individual teaching and learning styles. Aufmann and Lockwood present math as a cohesive subject by weaving the themes of number sense, logic, geometry, statistics, and probability throughout the text at increasingly sophisticated levels. These themes are brought to life for students with applications from more than 100 disciplines. The text's interactive style encourages students to be active learners, quantitative thinkers, and true problem solvers.

- A variety of analytic tools throughout include examples relevant to students' experiences; strategically placed questions that encourage students to be active learners; and an abundance of problems with complete solutions provided in an appendix.
- Margin notes to guide students through the material include "Points of Interest," offering supplemental information; "Take Note," alerting students to challenging procedures; "Calculator Notes," demonstrating the functions of a calculator; and "Instructor Notes" (found only in the Instructor's Annotated Edition), offering teaching suggestions or related material.
- A wide range of exercises includes "End-of Section" exercises providing practice in both concept and practice; "Critical Thinking" exercises requiring students to explore a concept in detail; "Writing Exercises," denoted by an icon; "Chapter Review" and "Cumulative Review" exercises, with all answers provided at the back of the book.
- "Chapter Summaries" ensure that students have mastered material before being introduced to new concepts.

**1. Analyzing Real Number Data**

Section 1.1 Introduction to Problem Solving

Section 1.2 Introduction to Logic and Sets

Section 1.3 Creating Tables and Graphs

Section 1.4 Evaluating Numerical and Variable Expressions

Section 1.5 Translating Phrases into Variable Expressions

Section 1.6 Statistical Measures

Section 1.7 Introduction to Probability

**2. Real Numbers and the Rectangular Coordinate System**

Section 2.1 Addition and Subtraction of Integers

Section 2.2 Multiplication and Division of Integers

Section 2.3 Introduction to Rectangular Coordinates

Section 2.4 Operations with Rational Numbers

Section 2.5 Coordinate Geometry

Section 2.6 Reading and Drawing Graphs

**3. First-Degree Equations and Inequalities**

Section 3.1 Simplifying Variable Expressions

Section 3.2 Introduction to Equations

Section 3.3 General Equations

Section 3.4 Applications to Geometry

Section 3.5 Uniform Motion Problems

Section 3.6 Percent Mixture Problems

Section 3.7 Inequalities

**4. Linear Equations in Two Variables and Systems of Linear Equations**

Section 4.1 Introduction to Functions

Section 4.2 Equations of the Form *Ax* + *By* = *C*

Section 4.3 Slopes of Straight Lines

Section 4.4 Equations of Straight Lines

Section 4.5 Solving Systems of Equations by Graphing or Substitution

Section 4.6 Solving Systems of Equations by the Addition Method

**5. Polynomials**

Section 5.1 Operations on Monomials and Scientific Notation

Section 5.2 Operations on Polynomials

Section 5.3 Factoring Polynomials

**6. Radical Expressions**

Section 6.1 Introduction to Radical Expressions

Section 6.2 Operations on Radical Expressions

Section 6.3 Radical Equations

Section 6.4 The Pythagorean Theorem

Section 6.5 Introduction to Trigonometry

**7. Quadratic Equations and Functions**

Section 7.1 Introduction to Quadratic Equations

Section 7.2 Solving Quadratic Equations by Completing the Square

Section 7.3 Solving Quadratic Equations Using the Quadratic Formula

Section 7.4 Properties of Quadratic Functions

**8. Rational Expressions**

Section 8.1 Multiplication and Division of Rational Expressions

Section 8.2 Addition and Subtraction of Rational Expressions

Section 8.3 Complex Fractions

Section 8.4 Applications of Equations Containing Fractions

Section 8.5 Literal Equations

Section 8.6 Proportions and Similar Triangles

Section 8.7 Probability of Compound Events

Appendix:

Guidelines for Using Graphing Calculators.

Solutions to You-Try-Its.

Answers to Odd-Numbered Questions.

Index.

Richard N. Aufmann and Joanne S. Lockwood

ISBN13: 978-0395888308ISBN10: 0395888301

Cover type:

Edition/Copyright: 99

Publisher: Houghton Mifflin Harcourt

Published: 1999

International: No

The second-level text in an innovative new workbook series, *Introductory Algebra: An Integrated Approach* is ideal for the first-year developmental arithmetic and pre-algebra instructor who seeks a flexible teaching tool that accommodates individual teaching and learning styles. Aufmann and Lockwood present math as a cohesive subject by weaving the themes of number sense, logic, geometry, statistics, and probability throughout the text at increasingly sophisticated levels. These themes are brought to life for students with applications from more than 100 disciplines. The text's interactive style encourages students to be active learners, quantitative thinkers, and true problem solvers.

- A variety of analytic tools throughout include examples relevant to students' experiences; strategically placed questions that encourage students to be active learners; and an abundance of problems with complete solutions provided in an appendix.
- Margin notes to guide students through the material include "Points of Interest," offering supplemental information; "Take Note," alerting students to challenging procedures; "Calculator Notes," demonstrating the functions of a calculator; and "Instructor Notes" (found only in the Instructor's Annotated Edition), offering teaching suggestions or related material.
- A wide range of exercises includes "End-of Section" exercises providing practice in both concept and practice; "Critical Thinking" exercises requiring students to explore a concept in detail; "Writing Exercises," denoted by an icon; "Chapter Review" and "Cumulative Review" exercises, with all answers provided at the back of the book.
- "Chapter Summaries" ensure that students have mastered material before being introduced to new concepts.

Table of Contents

**1. Analyzing Real Number Data**

Section 1.1 Introduction to Problem Solving

Section 1.2 Introduction to Logic and Sets

Section 1.3 Creating Tables and Graphs

Section 1.4 Evaluating Numerical and Variable Expressions

Section 1.5 Translating Phrases into Variable Expressions

Section 1.6 Statistical Measures

Section 1.7 Introduction to Probability

**2. Real Numbers and the Rectangular Coordinate System**

Section 2.1 Addition and Subtraction of Integers

Section 2.2 Multiplication and Division of Integers

Section 2.3 Introduction to Rectangular Coordinates

Section 2.4 Operations with Rational Numbers

Section 2.5 Coordinate Geometry

Section 2.6 Reading and Drawing Graphs

**3. First-Degree Equations and Inequalities**

Section 3.1 Simplifying Variable Expressions

Section 3.2 Introduction to Equations

Section 3.3 General Equations

Section 3.4 Applications to Geometry

Section 3.5 Uniform Motion Problems

Section 3.6 Percent Mixture Problems

Section 3.7 Inequalities

**4. Linear Equations in Two Variables and Systems of Linear Equations**

Section 4.1 Introduction to Functions

Section 4.2 Equations of the Form *Ax* + *By* = *C*

Section 4.3 Slopes of Straight Lines

Section 4.4 Equations of Straight Lines

Section 4.5 Solving Systems of Equations by Graphing or Substitution

Section 4.6 Solving Systems of Equations by the Addition Method

**5. Polynomials**

Section 5.1 Operations on Monomials and Scientific Notation

Section 5.2 Operations on Polynomials

Section 5.3 Factoring Polynomials

**6. Radical Expressions**

Section 6.1 Introduction to Radical Expressions

Section 6.2 Operations on Radical Expressions

Section 6.3 Radical Equations

Section 6.4 The Pythagorean Theorem

Section 6.5 Introduction to Trigonometry

**7. Quadratic Equations and Functions**

Section 7.1 Introduction to Quadratic Equations

Section 7.2 Solving Quadratic Equations by Completing the Square

Section 7.3 Solving Quadratic Equations Using the Quadratic Formula

Section 7.4 Properties of Quadratic Functions

**8. Rational Expressions**

Section 8.1 Multiplication and Division of Rational Expressions

Section 8.2 Addition and Subtraction of Rational Expressions

Section 8.3 Complex Fractions

Section 8.4 Applications of Equations Containing Fractions

Section 8.5 Literal Equations

Section 8.6 Proportions and Similar Triangles

Section 8.7 Probability of Compound Events

Appendix:

Guidelines for Using Graphing Calculators.

Solutions to You-Try-Its.

Answers to Odd-Numbered Questions.

Index.

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